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math.PR2015★ 1 cited
On the nonexplosion and explosion for nonhomogeneous Markov pure jump processes
Yi Zhang
In this paper, we obtain new drift-type conditions for nonexplosion and explosion for nonhomogeneous Markov pure jump processes in Borel state spaces. The conditions are sharp; e.g…
math.PR2012
Markov Processes with Restart
Konstantin Avrachenkov, Alexei Piunovskiy, Zhang Yi
We consider a general honest homogeneous continuous-time Markov process with restarts. The process is forced to restart from a given distribution at time moments generated by an in…